Antiplane Response of Cylindrical Inclusion with Eccentric Crack to Incident SH Waves

Abstract

The analytical solution to a cylindrical inclusion with an eccentric crack impacted incident SH waves was studied by using the methods of Green function and conjunction. Firstly, Green function was constructed, which was an essentical solution of displacement field for an elastic half space containing a half cylindrical inclusion while bearing out-of-plane harmonic line source force at any point of its horizontal boundary. Secondly, the whole space was divided into two parts via conjunction technology, a series of unknown forces were loaded at the linking sections to satisfy continuity conditions.Thirdly, the Fredholm integral equations of the first kind were set up through the continuity conditions and the Green function. Finally, a example for dynamic stress intensity factor for mode III at the crack tip was given. Numerical results show that the dynamic stress intensity factors is influenced by wave numbers and media parameters.